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Finding the Fourth Proportional to 10,205.15, 14,084.73 and 9,538.11

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Solution

The fourth proportional to 10,205.15, 14,084.73 and 9,538.11 is: 13,164.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,205.15 : 14,084.73 = 9,538.11 : x
  2. Step 2: Convert to fraction form
    10,205.15/14,084.73 = 9,538.11/x
  3. Step 3: Cross multiply
    10,205.15x = 14,084.73 × 9,538.11
  4. Step 4: Simplify right side
    10,205.15x = 134,341,704.06
  5. Step 5: Solve for x
    x = 134,341,704.06/10,205.15
  6. Step 6: Final answer
    x = 13,164.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.